Least Common Multiple of 9738/531, 3134/5351

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 9738/531, 3134/5351 quickly i.e. 15259446 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9738/531, 3134/5351 is 15259446.

LCM(9738/531, 3134/5351) = 15259446

LCM of 9738/531, 3134/5351

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 9738/531,3134/5351

Given numbers are 9738/531,3134/5351

Formula to find LCM of Fractions is

LCM = LCM of Numerators/GCF of Denominators

As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators

In the given fractions LCM of Numerators means LCM of 9738,3134

Least Common Multiple of Numerators i.e. LCM of 9738,3134 is 15259446.

GCF of Denominators means GCF of 531,5351 as per the given fractions.

GCF of 531,5351 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9738,3134

LCM of Fractions 9738/531,3134/5351 is 15259446

2 9738, 3134
4869, 1567

∴ So the LCM of the given numbers is 2 x 4869 x 1567 = 15259446

Least Common Multiple of 9738,3134 with GCF Formula

Least Common Multiple of 9738,3134 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 9738,3134 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9738,3134) = 2

common factors(in case of two or more numbers have common factors) = 1

GCF(9738,3134) x common factors =2 x 1 = 2

LCM(9738,3134) = ( 9738 × 3134 ) / 2

LCM(9738,3134) = 30518892 / 2

LCM(9738,3134) = 15259446


Lets's calculate GCF of 531,5351

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 15259446/1

Therefore the LCM of Fractions 9738/531,3134/5351 is 15259446

Greatest Common Factor of 531,5351 By Matching Biggest Common Factor Method

Greatest Common Factor of 531,5351 By Matching Biggest Common Factor Method

Factors of 531

List of positive integer factors of 531 that divides 531 without a remainder.

1,3,9,59,177,531

Factors of 5351

List of positive integer factors of 5351 that divides 5351 without a remainder.

1,5351

Greatest Common Factor

We found the factors 531,5351 . The biggest common factor number is the GCF number.
So the greatest common factor 531,5351 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 9738/531, 3134/5351

1. How to find LCM in Fractions?

Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.

2. What is the LCM of Fractions for 9738/531, 3134/5351?

Answer: LCM of Numerators as per given numbers 9738/531, 3134/5351 is

LCM of Numerators i.e. for 9738,3134 is 15259446

GCF of denominators i.e. for 531,5351 is 1.

Thus, LCM of Fractions is 15259446.Finally, LCM of Fractions for 9738/531, 3134/5351 is 15259446.